This is a really good and correct way. There is another w...

[Sukrity_Wadhwa]

Adobe Campaign uses an embedded web servlet called Apache Tomcat to process HTTP/HTTPS requests between the application and any external interface (including Client Console, tracked URL links, SOAP calls, and others). There is often an external web server (usually IIS or Apache) in front of this for any external-facing Adobe Campaign instances.

Learn how to find out the current version of embedded Tomcat web servlet used in an on-premise instance of Adobe Campaign here: Locating Tomcat Version

In case you have any questions, please feel free to post them below or reach out through the community Q and A section. 
In case you have any ideas and/or suggestions regarding the Campaign Classic product, then kindly submit them here

[Milan_Vucetic]

This is a really good and correct way.

There is another way (execute as neolane user) which is faster and can show current version:

cd tomcat_folder/lib 
java -cp catalina.jar org.apache.catalina.util.ServerInfo